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Finding the Fourth Proportional to 189,290.10, 283,873.69 and 62,896.41

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Solution

The fourth proportional to 189,290.10, 283,873.69 and 62,896.41 is: 94,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,290.10 : 283,873.69 = 62,896.41 : x
  2. Step 2: Convert to fraction form
    189,290.10/283,873.69 = 62,896.41/x
  3. Step 3: Cross multiply
    189,290.10x = 283,873.69 × 62,896.41
  4. Step 4: Simplify right side
    189,290.10x = 17,854,635,837.21
  5. Step 5: Solve for x
    x = 17,854,635,837.21/189,290.10
  6. Step 6: Final answer
    x = 94,324.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.